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In a mixture of two liquids, if the first liquid is 25% alcohol and the second i

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Question: In a mixture of two liquids, if the first liquid is 25% alcohol and the second is 75% alcohol, what is the overall percentage of alcohol if equal volumes of both liquids are mixed?

Options:

  1. 50%
  2. 60%
  3. 40%
  4. 70%

Correct Answer: 50%

Solution: 

Overall alcohol = (25% + 75%) / 2 = 50%.

In a mixture of two liquids, if the first liquid is 25% alcohol and the second i

Practice Questions

Q1
In a mixture of two liquids, if the first liquid is 25% alcohol and the second is 75% alcohol, what is the overall percentage of alcohol if equal volumes of both liquids are mixed?
  1. 50%
  2. 60%
  3. 40%
  4. 70%

Questions & Step-by-Step Solutions

In a mixture of two liquids, if the first liquid is 25% alcohol and the second is 75% alcohol, what is the overall percentage of alcohol if equal volumes of both liquids are mixed?
  • Step 1: Identify the percentage of alcohol in the first liquid, which is 25%.
  • Step 2: Identify the percentage of alcohol in the second liquid, which is 75%.
  • Step 3: Since we are mixing equal volumes of both liquids, we can find the average percentage of alcohol.
  • Step 4: Add the percentages of alcohol from both liquids: 25% + 75% = 100%.
  • Step 5: Divide the total by 2 to find the average: 100% / 2 = 50%.
  • Step 6: The overall percentage of alcohol in the mixture is 50%.
  • Mixture and Concentration – Understanding how to calculate the overall concentration of a mixture based on the concentrations of its components.
  • Weighted Average – Recognizing that the average concentration must consider the volumes and concentrations of each liquid.
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